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Semiclassical results in the linear response theory |
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| Authors: | Monique Combescure Didier Robert |
| Affiliation: | a Laboratoire de Physique Theorique, CNRS-UMR 8627, Université de Paris XI, Bâtiment 210, Orsay cedex F-91405, France b IPNL, Bâtiment Paul Dirac, 4 rue Enrico Fermi, Université Lyon-1, Villeurbanne cedex F-69622, France c Département de Mathématiques, Laboratoire Jean Leray, CNRS-UMR 6629, Université de Nantes, 2 rue de la Houssinière, F-44322 Nantes Cedex 03, France |
| Abstract: | We consider a quantum system of non-interacting fermions at temperature T, in the framework of linear response theory. We show that semiclassical theory is an appropriate framework to describe some of their thermodynamic properties, in particular through asymptotic expansions in ? (Planck constant) of the dynamical susceptibilities. We show how the closed orbits of the classical motion in phase space manifest themselves in these expansions, in the regime where T is of the order of ?. |
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